Exponents and Powers Quiz

Exponents and Powers: ten practice questions on power calculations and exponent laws. Every answer is explained.

Free, with no sign-up.

For High school students and adults reviewing the topic.

About 12 minutes. 10 questions.

How does it work?

  1. Choose one answer or enter a number in the stated unit, then check it.
  2. Read the explanation after answering.
  3. Round only the final answer to the precision requested.

What will you get?

Review your score and the reasoning for each answer.

Question 1A cube has an edge of 6 m. Calculate its volume as 6³, in m³, rounded to a whole number.

Answers within 0.5 m³ of the expected value are accepted.

Question 2One counter stores the value 5² × 5³. Find the stored number, rounded to a whole number.

Answers within 0.5 of the expected value are accepted.

Question 3A scale factor is 13⁰. Enter its value as a whole number.

Answers within 0.5 of the expected value are accepted.

Question 4This measurement uses the factor 5⁻³. Write it as a decimal rounded to three decimal places.

Answers within 0.0005 of the expected value are accepted.

Question 5A calculation requires 125^(2/3). Find its real value as a whole number.

Answers within 0.5 of the expected value are accepted.

Question 6A distance is written as 8.6 × 10⁴ m. Enter the ordinary decimal value in m, rounded to a whole number.

Answers within 0.5 m of the expected value are accepted.

Question 7What is the value of (2⁴)³?
Question 8What value results from (4 + 7)²?
Question 9What is the value of −6² with no parentheses around the negative sign?
Question 10An amount falls by half in each of four intervals from a starting value of 144. What remains?

Answer every question to see and share your score.

Read the topic guide